At 11 a.m., Opal and Jean raced off together from the starting point of a path. Opal ran at an average speed of 3 m/s. Jean ran at an average speed of 4 m/s. Upon reaching the end of the path, Jean rested for 6 minutes. She then immediately ran back along the same route at 4 m/s. At 11.25 a.m., Opal met Jean.
- Find the total distance covered by the two runners when they met each other. Express your answer in km.
- Find the length of the trail in km.
(a)
From 11 a.m. to 11.25 a.m. = 25 min
Duration that Opal ran = 25 min
Duration that Jean ran = 25 - 6 = 19 min
1 min = 60 s
19 min = 19 x 60 = 1140 s
25 min = 25 x 60 = 1500 s
Distance that Opal ran
= 3 x 1500
= 4500 m
Distance that Jean ran
= 4 x 1140
= 4560 m
Distance that Opal and Jean ran
= 4500 + 4560
= 9060 m
1000 m = 1 km
9060 m = 9060 ÷ 1000 = 9.06 km
(b)
Length of the trail
= 9.06 ÷ 2
= 4.53 km
Answer(s): (a) 9.06 km; (b) 4.53 km